Pith Number

pith:KGKGZQPP

pith:2023:KGKGZQPPN5YMP4T4YWMBP2RMLE

not attested not anchored not stored refs pending

Perturbation bounds for the largest C-eigenvalue of piezoelectric-type tensors

Dongdong Liu, Xifu Liu, Yaping Shi

arxiv:2307.10775 v1 · 2023-07-20 · math.NA · cs.NA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KGKGZQPPN5YMP4T4YWMBP2RMLE}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T06:33:09.877089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51946cc1ef6f70c7f27cc59817ea2c592a7b6477ad2a87619b4dc5f9a774d9bf

Aliases

arxiv: 2307.10775 · arxiv_version: 2307.10775v1 · doi: 10.48550/arxiv.2307.10775 · pith_short_12: KGKGZQPPN5YM · pith_short_16: KGKGZQPPN5YMP4T4 · pith_short_8: KGKGZQPP

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/KGKGZQPPN5YMP4T4YWMBP2RMLE \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 51946cc1ef6f70c7f27cc59817ea2c592a7b6477ad2a87619b4dc5f9a774d9bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d6272c83aec028ea18b8f60b66402c7d1626fad641ce3496bcec166702378f1",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2023-07-20T11:17:59Z",
    "title_canon_sha256": "edf77226c6d6f3e79529958db38c36182937aa2f08c039af24f5ec5377396282"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.10775",
    "kind": "arxiv",
    "version": 1
  }
}